摘要
本文研究了控制函数独立同分布,并且第n代的繁殖情况取决于环境的随机环境中分枝过程.给出了该模型稳定的充分条件,当环境平稳遍历时,得到了过程几乎处处灭绝的充分条件.
We consider controlled branching chains in random environments, that the controlled functions are i. i. d. random variables and the reproduction of an individual in the n-th season depends on the environments. Some results on process stability are shown. The extinction probabilities are given when environments are stationary and ergodic.
出处
《数学杂志》
CSCD
北大核心
2009年第3期237-241,共5页
Journal of Mathematics
基金
Supported by the National Natural Science Fundation of China(10371092)
the Foundation of Wuhan University
关键词
随机环境中控制分枝过程
稳定性
灭绝概率
controlled branching chains in random environments
stability
extinctionprobability
